Details

sample92.0ms

Algorithm

intervals

Results

35.0ms	118×	body	1280	valid
22.0ms	72×	body	640	valid
11.0ms	380×	pre	80	true
6.0ms	42×	body	320	valid
4.0ms	129×	body	80	valid
1.0ms	19×	body	160	valid

simplify10.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize6.0ms

Local error

Found 1 expressions with local error:

5.8b	(- (exp x) 1)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity`
3×	`add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `difference-of-sqr-1` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--`

Counts

1 → 17

Calls

1 calls:

Slowest

8.0ms

(- (exp x) 1)

series24.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

24.0ms

(- (exp x) 1)

simplify862.0ms

Counts: 20 → 20

prune162.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.3b	(* x 1/6)
0.0b	(* (* (+ 1/2 (* x 1/6)) x) x)
0.0b	(* (+ 1/2 (* x 1/6)) x)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
6×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

Slowest

44.0ms	(* (* (+ 1/2 (* x 1/6)) x) x)
21.0ms	(* (+ 1/2 (* x 1/6)) x)
9.0ms	(* x 1/6)

series201.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

94.0ms	(* (* (+ 1/2 (* x 1/6)) x) x)
82.0ms	(* (+ 1/2 (* x 1/6)) x)
25.0ms	(* x 1/6)

simplify1.1s

Counts: 70 → 70

prune566.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

5.7b	(- (* (exp x) (exp x)) 1)
0.0b	(* (exp x) (exp x))
0.0b	(/ (- (* (exp x) (exp x)) 1) (+ (exp x) 1))
0.0b	(+ (exp x) 1)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
24×	`times-frac`
18×	`exp-prod`
12×	`difference-of-squares`
11×	`pow1`
8×	`add-cbrt-cube` `distribute-lft-out` `add-log-exp`
6×	`difference-of-sqr-1` `add-exp-log` `associate-/l*`
4×	`associate-/r*` `pow-prod-down` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

Slowest

41.0ms	(/ (- (* (exp x) (exp x)) 1) (+ (exp x) 1))
19.0ms	(* (exp x) (exp x))
13.0ms	(- (* (exp x) (exp x)) 1)
7.0ms	(+ (exp x) 1)

series134.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

65.0ms	(/ (- (* (exp x) (exp x)) 1) (+ (exp x) 1))
35.0ms	(- (* (exp x) (exp x)) 1)
23.0ms	(* (exp x) (exp x))
9.0ms	(+ (exp x) 1)

simplify1.3s

Counts: 128 → 128

prune760.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.1b

regimes53.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	3432×	body	1280	valid
496.0ms	2535×	body	640	valid
466.0ms	598×	body	160	valid
372.0ms	12002×	pre	80	true
198.0ms	1255×	body	320	valid
137.0ms	4182×	body	80	valid